Question
Wei Lin is 45 years old and is considering retiring at the age of 65. Wei has $35,000 in an interest-bearing account that pays 4%
Wei Lin is 45 years old and is considering retiring at the age of 65. Wei has $35,000 in an interest-bearing account that pays 4% compounded quarterly. Wei intends to go for a tour of the Balkan countries on the same year of the retirement (65 years of age) and has figured out that it would cost around $45,000. Wei also believes that he will survive until his age of 80. His HR department tells him that his total pension payments will be around $55,000 per year, however, in order to keep up his lifestyle, he needs to have at least $75,000/year after retirement. Thus, he will need to start saving some money to make up the shortfall. At an interest rate of 6%, what amount of annuity does he need to set aside every year from now until his retirement in order to make up his shortfall? This same interest rate is applicable for the time after his retirement.
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